English

Convexity and Cone-Vexing

Functional Analysis 2007-10-04 v1 History and Overview

Abstract

The idea of convexity feeds generation, separation, calculus, and approximation. Generation appears as duality; separation, as optimality; calculus, as representation; and approximation, as stability. This is an overview of the origin, evolution, and trends of convexity. Study of convexity in the Sobolev Institute was initiated by Leonid Kantorovich (1912--1986) and Alexandr Alexandrov (1912--1999). This talk is a part of their memory.

Keywords

Cite

@article{arxiv.0710.0689,
  title  = {Convexity and Cone-Vexing},
  author = {S. Kutateladze},
  journal= {arXiv preprint arXiv:0710.0689},
  year   = {2007}
}

Comments

11 pages

R2 v1 2026-06-21T09:25:45.848Z